
Elanora W.
asked 08/02/21I need help with this pls ASAP!!!
1) State what animal you chose and what the minimum required square footage (area) is for the fenced enclosure (do not include dimensions, only the total required square footage). Your answer must include a minimum of 1 complete sentence. (1 point)
2) Provide the width and length for 3 different possible configurations of your enclosure (different dimensions but same square footage). Draw a picture that represents a scaled version of the approximate shape of each configuration. For each of the three possible configurations show the calculation of the area using the dimensions you provided to ensure that it is providing the proper square footage AND calculate the perimeter for each, showing your work. (3 points)
3) Circle the configuration in part 2 that requires the least amount of fencing to fence the perimeter of the enclosure. Describe in at least two complete sentences what you notice about the shape of this enclosure and how it compares to the other two, less optimal, configurations. (1 point)
4) Based on your observations, do you believe that you can create another configuration that will be more optimal (use less fencing)? If so, determine the dimensions that will use the least amount of fencing. If you are sure that you found it in part 2, then state so, using at least one complete sentence that includes the dimensions and square footage. (1 point)
5) Explain how you know that you have found the configuration that requires least amount of fencing. Your explanation must be at least one complete sentence and must reference the name of the shape that most accurately describes the space. (1 point)
1 Expert Answer

Patrick B. answered 08/03/21
Math and computer tutor/teacher
Length width perimeter
35 10 90
50 7 114
70 5 150
25 14 78
18.70825+ 18.70825+ less than 75
The shape that minimizes is a square,
which in this case has area 350.
square root of 350 is 18.7082.... as
shown in the last row of the table
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Philip P.
08/02/21